The honest answer is a range, not a number, and the range is wide for reasons worth understanding — because the same reasons decide whether your email lands in an inbox or a spam folder.
How many cold emails can you send per day?
Per mailbox, plan on a couple of dozen to around fifty cold sends a day once it is properly warmed, and far fewer while it is new. Your total daily volume is that figure multiplied by how many mailboxes you run, which is why the real question is about infrastructure rather than a published limit.
The constraint is not a quota, it is sender reputation. A warmed mailbox on a healthy domain can carry a modest daily volume indefinitely; the same mailbox pushed hard for a week can be worthless for months. Mailboxes on different email platforms tolerate meaningfully different volumes, which is a large part of why published numbers disagree so widely.
The arithmetic that decides your setup
Mailboxes needed is roughly your daily target divided by a conservative per-mailbox daily volume.
Spread those mailboxes across several sending domains, never one — concentrating them means a single reputation problem removes all your capacity at once.
Use dedicated sending domains, never the domain your company actually runs on.
Every domain needs its own warm-up period before it carries real volume.
Volume is not the whole answer
The same thousand emails sent to a precise list with a relevant message and to a scraped list with a generic one produce completely different outcomes — and the second damages the domains you just spent six weeks warming. Volume multiplies whatever your targeting and message already are, so if those are wrong, sending more makes things worse rather than slower.